Question

The least perfect square which is divisible by each of 21, 36 and 66 is

• A. 214344
• B. 214434
• C. 213444
• D. 231444

Answer 1

The correct option is C 213444

here, $21=3\times 7$

$36=2\times 2\times 3\times 3$

$66=2\times 3\times 11$

$\therefore$ LCM of $21,36,66=2\times 2\times 3\times 3\times 7\times 11$

$\therefore$ Least perfect square number divisible by 21, 36 and 66

$=2\times 2\times 3\times 3\times 7\times 7\times 11\times 11$

$=213444$